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Aleksandr-060686 [28]
3 years ago
11

-3(5x + 7) + 2x – 3 = 5.x - 8 - 13​

Mathematics
2 answers:
ratelena [41]3 years ago
8 0

Answer:

x=-7

Step-by-step explanation:

Simplifying

3(x + -2) = 5x + 8

Reorder the terms:

3(-2 + x) = 5x + 8

(-2 * 3 + x * 3) = 5x + 8

(-6 + 3x) = 5x + 8

Reorder the terms:

-6 + 3x = 8 + 5x

Solving

-6 + 3x = 8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-6 + 3x + -5x = 8 + 5x + -5x

Combine like terms: 3x + -5x = -2x  

-6 + -2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0

-6 + -2x = 8 + 0

-6 + -2x = 8

Add '6' to each side of the equation.

-6 + 6 + -2x = 8 + 6

Combine like terms: -6 + 6 = 0

0 + -2x = 8 + 6

-2x = 8 + 6

Combine like terms: 8 + 6 = 14

-2x = 14

Divide each side by '-2'.

x = -7

Simplifying

x = -7

algol [13]3 years ago
6 0

Answer

x=-1/6

or

x=0.1 6¯

Step-by-step explanation:

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4 years ago
two wheels are rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel 2r feet. If b
Nuetrik [128]
The circumference of a circle is C=2πR, where R is the radius of the circle and π≈3.14.

So if we open the circumference of the circle into a straight line segment, the length of this segment is C=2πR≈2*3.14*R=6.28R

4 rotations mean 4 circumferences that is 4 segments of length 6.28R, 
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i: the radius of the smaller wheel is R=r, thus it covers a distance of 25.12r feet

ii: the radius of the smaller wheel is R=2r, thus it covers a distance of  25.12*2r=50.24r (feet)

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6 0
3 years ago
Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye
notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

I_1 = \dfrac{P \times  R_1 \times T_1 }{100} = \dfrac{10,000 \times  4 \times 4 }{100} = \$ 1,600

For the second choice, we have;

The simple interest, I, given by the formula;

I_2 = \dfrac{P \times  R_2 \times T_2 }{100} = \dfrac{10,000 \times  5 \times 6 }{100} = \$ 3,000

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0
3 years ago
Read 2 more answers
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